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Finding the Third Proportional to 87,754 and 189,517.50

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Solution

The third proportional to 87,754 and 189,517.50 is: 409,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,754 : 189,517.50 = 189,517.50 : x
  2. Step 2: Convert to fraction form
    87,754/189,517.50 = 189,517.50/x
  3. Step 3: Cross multiply
    87,754x = 189,517.50 × 189,517.50
  4. Step 4: Simplify right side
    87,754x = 35,916,882,806.25
  5. Step 5: Solve for x
    x = 35,916,882,806.25/87,754
  6. Step 6: Final answer
    x = 409,290.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.